The slope intercept form for a line parallel to y = x + 4 passing through (2,2) is y = x
Solution:
Given that line parallel to y = x + 4 passing through (2, 2)
To find: slope intercept form of line
The slope intercept form is given as:
y = mx + c
Where "m" is the slope of line and "c" is the y intercept
Let us first find slope of line
On comparing the given equation y = x + 4 with slope intercept form, we get
m = 1
Thus slope of line is 1
We know that slopes of parallel lines are equal
So slope of line parallel to given line is also 1
Now we have to find the equation of line in slope intercept form with slope m = 1 and passing through (2, 2)
Substitute m = 1 and (x, y) = (2, 2) in slope intercept form
2 = 1(2) + c
c = 0
Thus the required equation is:
Substitute m = 1 and c = 0 in slope intercept form
y = 1x + 0
y = x
Thus the required equation of line is found